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Finding the Fourth Proportional to 21,442.35, 29,590.38 and 12,367.68

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Solution

The fourth proportional to 21,442.35, 29,590.38 and 12,367.68 is: 17,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.35 : 29,590.38 = 12,367.68 : x
  2. Step 2: Convert to fraction form
    21,442.35/29,590.38 = 12,367.68/x
  3. Step 3: Cross multiply
    21,442.35x = 29,590.38 × 12,367.68
  4. Step 4: Simplify right side
    21,442.35x = 365,964,350.92
  5. Step 5: Solve for x
    x = 365,964,350.92/21,442.35
  6. Step 6: Final answer
    x = 17,067.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.